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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 110r, page id 00068164:0219
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Postulatum.
Dari potest motu, cujus velocitas
a quiete continue crescat, per tempus aliquod assigna
bile, usque ad aliquam velocitatem datam.
Hoc postulatum facile concedent Geometrae, sed
quoniam aliqui harum rerum minus intelligentes
ideo
dubitare poterunt; possibilitatem
postulati exemplis
confirmare operae pretium erit. Sit recta reprae
Sasse
se sit tempus repraesentatum per rectam AB
AAssignatum sit aliquod tempus, verbi gratia
minutum horae quod reprae sentetur per rectam AB
ATB, d in et mobilis velocitas in f postulatur
deri mobile dari posse, cuqu  quod initio temporis
quiescat; fine vero, sed momento B
datam
habeat velocitatem, quae repraesentetur sur rectam BC
et medie tempore continue: crescat velocitas, verbi
e
37
gratia ita ut in momento 1T, sit velocitas rY V minor ipsa BC
et in momento  quocunque sequenti velocitas maj inter, Tet B velocitas
ut 2 F2V m major ipsa 1T. V minor ipsa BC
idemque de quovis puncta rectae momento temporis
AB dici possit medio inter A_B dici possit.
Hujus continui incrementi inde a quidter usque ad
ut
velvcitatis velocitatem  datam aliquam BC
dat exemplum datur in medio motu gravium
accelerato, grave enim quiescit initio, et inter
descendendum continue acceleratur ac tandem certum
aliquem velonitatis gradum acquirit quam experimur. explicuit, velocitate
Sed quoniam causa gravitatis non satis cemon
tra evidens est, ac proinde dubitari ab aliquadhuc
poterit, an grave quolibet imomento novum impul
sum inter descendentum recipiat, dabo aliud
oper
exemplum, in quo nihil igaoti involvitur,
L
l
a plysicis ad mere mechanica traducto. Nimirum
constat . Quicquid circulatur continue per tangentem
a centro recedere conari: Id enim si quis rationi
uon ircdat, epperimaento eoinitur
ponamus
Et quidem ut Galilaeis
uediae repraesen–
abiratur per ordi
natus lupe
acquis ilae sunt
temporibus propor
tionales
4de
st
in
seu ATa
3 ad
si ipsae+
i AB para
lelae, erit AVC
recta